In this paper, we undertake a theoretical examination of the “cell Marangoni flow” based on the aforementioned scenario. To this end, we consider the two-dimensional cellular Potts model [1]}, [2]}, [3]} consisting of two tissues, which correspond to the two different types of molecules participating in heterophilic cell-cell adhesion.
We demonstrate that the polarization in heterophilic cell-cell adhesion in one tissue induces the relative motion between two tissues. In contrast to the Marangoni flow
[4]}, the direction of this flow is aligned to that of the tension gradient and against the direction of the Marangoni flow. This is expected as low and high tensions promote cell-shape extension and shrinkage [5]}, respectively, during cell movement. Further, we investigate this flow as a function of adhesion strength and schematically clarify the steady states. Based on this clarification, we determine the emergence condition of the flow in heterophilic adhesion.
